101330300120 has 256 divisors, whose sum is σ = 277890048000. Its totient is φ = 32512886784.

The previous prime is 101330300041. The next prime is 101330300161. The reversal of 101330300120 is 21003033101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 101330300095 and 101330300104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110261021 + ... + 110261939.

It is an arithmetic number, because the mean of its divisors is an integer number (1085508000).

Almost surely, 2^101330300120 is an apocalyptic number.

101330300120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101330300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138945024000).

101330300120 is an abundant number, since it is smaller than the sum of its proper divisors (176559747880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101330300120 is a wasteful number, since it uses less digits than its factorization.

101330300120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 101330300120 its reverse (21003033101), we get a palindrome (122333333221).

The spelling of 101330300120 in words is "one hundred one billion, three hundred thirty million, three hundred thousand, one hundred twenty".